Please use the following format for your answers to questions 3-5. Provide p-val
ID: 2925231 • Letter: P
Question
Please use the following format for your answers to questions 3-5. Provide p-values to 3 significant figures a. Hypothesis (ex. Ho: °, = , HA: .) b. t-crit c. t-calc d. p-value e. Conclusion - Biological and statistical It is generally held that the mean age at first reproduction of mako sharks is 12.3 years. A random sample seven makos taken from the Gulf of California had the following age of first reproduction. Is there any reason to conclude that makos in the Gulf of California reproduce at an earlier age? (2 points) 3. 10.4 9.3 12.5 123 10.2 9.9 11.8 4. It has been noted that the average amount of time a Bio 260 student spends studying is 8.73 hours/week. Alison's Bio 260 sections spend the following times studying per week. Is there a difference in study time between Alison's sections and the average Bio 260 student? (2 points) 2.2 11.2 8.9 12.5 8.0 3.7 2.5 16.6 15.9 6.9 5.0 0.2 6.8 6.2 10.3 10.7 5.3 9.2 6.8 S. FDA regulations state that the amount of fat in "non-fat" milk must not exceed I gram liter. Below are the amounts of fat (grams / liter) in 9 random samples from a dairy. Is there any reason to suspect that the milk contains too much fat to qualify as "nonfat"? (2 points) 0.9 15 0.9 14 .0 2 1.1 1.0 .4Explanation / Answer
Q3.
Given that,
population mean(u)=12.3
sample mean, x =10.91
standard deviation, s =1.266
number (n)=7
null, Ho: =12.3
alternate, H1: !=12.3
level of significance, = 0.05
from standard normal table, two tailed t /2 =2.447
since our test is two-tailed
reject Ho, if to < -2.447 OR if to > 2.447
we use test statistic (t) = x-u/(s.d/sqrt(n))
to =10.91-12.3/(1.266/sqrt(7))
to =-2.905
| to | =2.905
critical value
the value of |t | with n-1 = 6 d.f is 2.447
we got |to| =2.905 & | t | =2.447
make decision
hence value of | to | > | t | and here we reject Ho
p-value :two tailed ( double the one tail ) - Ha : ( p != -2.9049 ) = 0.0272
hence value of p0.05 > 0.0272,here we reject Ho
ANSWERS
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null, Ho: =12.3
alternate, H1: !=12.3
test statistic: -2.905
critical value: -2.447 , 2.447
decision: reject Ho
p-value: 0.0272
we have a reason to conclude that makos in the Gulf of California reproduce at an earlier age